Physics - Brown University

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1PhysicsPHYS 0050& PHYS 0060PhysicsChairGang XiaoThe department aims to develop in its students a comprehensive grasp ofthe principles of physics, together with a productive capacity in research.The courses of study are flexible in subject matter and are conducted bymeans of lectures, seminars, laboratories, and colloquia. Undergraduateas well as graduate students have opportunities to carry out research infields of current interest.The principal research fields of the department are condensed matterphysics, elementary particle physics, low-temperature physics, nonlinearoptics, physical acoustics, astrophysics, biological physics, andcosmology. Interdisciplinary study and research, coordinated with otherdepartments, is encouraged for students interested in brain and neuralscience, semiconductor physics, geophysics, physics of solid continua,polymer physics, and computational physics, as well as other fields.For additional information, please visit the department's website: http://www.brown.edu/academics/physics/Physics Concentration RequirementsPhysics is the scientific study of the fundamental principles governing thebehavior of matter and the interaction of matter and energy. Mathematicsis used to describe fundamental physical principles, the behavior of matter,and the interactions of matter and energy. As the most fundamental ofsciences, physics provides a foundation for other scientific fields as wellas the underpinnings of modern technology. The Physics departmentis unique because of the breadth of its faculty expertise and research,and the relatively intimate size of its classes above the introductory level.Physics concentrators may choose to pursue either the A.B. or the moreintensive Sc.B. degree. Course work on either path covers a broad baseof topics (for example, electricity and magnetism, classical and quantummechanics, thermodynamics, and statistical mechanics). The Sc.B. degreerequires additional advanced topics as well as a senior thesis project.Standard concentration for the A.B. degreeSelect one of the following Series:PHYS 0070Analytical Mechanics& PHYS 0160and Introduction to Relativity, Waves andQuantum PhysicsPHYS 0030Basic Physics A& PHYS 0040and Basic Physics BPHYS 0050Foundations of Mechanics& PHYS 0060and Foundations of Electromagnetism andModern PhysicsPHYS 0470Electricity and MagnetismPHYS 0500Advanced Classical MechanicsPHYS 0560Experiments in Modern PhysicsPHYS 1410Quantum Mechanics APHYS 1530Thermodynamics and StatisticalMechanicsOne additional 1000-level course or a mathematics coursebeyond the introductory level.2Total Credits8Total Credits1211111111114117In addition, courses in computer programming are recommended.A senior thesis is required. This is to be prepared in connectionwith PHYS 1990 under the direction of a faculty supervisor. The topicmay be in a related department or of interdisciplinary nature. In anyevent, a dissertation must be submitted.HonorsCandidates for honors in physics will be expected to pursue a morerigorous and extensive program than those merely concentrating in thesubject. In addition they will be required to begin an honors thesis duringthe seventh semester and to complete it (as part of PHYS 1990) duringthe eighth semester. Honors candidates are also expected to take aspecial oral examination on the thesis at the end of the eighth semester.Further details about the program may be obtained from the chair of thedepartment or the departmental honors advisor.Astrophysics Track for the Sc.B. degree111111Standard program for the Sc.B. degreePrerequisites:Select one of the following series:PHYS 0070Analytical Mechanics& PHYS 0160and Introduction to Relativity, Waves andQuantum PhysicsFoundations of Mechanicsand Foundations of Electromagnetism andModern PhysicsSelect one of the following:MATH 0190Advanced Placement Calculus (Physics/Engineering)Or MATH 0090, MATH 0100Program:PHYS 0470Electricity and MagnetismPHYS 0500Advanced Classical MechanicsPHYS 0560Experiments in Modern PhysicsPHYS 1410Quantum Mechanics APHYS 1420Quantum Mechanics BPHYS 1510Advanced Electromagnetic TheoryPHYS 1530Thermodynamics and StatisticalMechanicsPHYS 1560Modern Physics LaboratoryOne additional 1000 or 2000 level Physics course or upper levelcourse in related fields of science chosen by the student withagreement of his or her advisor.Four Mathematics courses beyond MATH 0190 or 0090, 01001including choices from Applied Mathematics2PHYS 1990Senior Conference Course2Prerequisites:Select one of the following Series:PHYS 0070Analytical Mechanics& PHYS 0160and Introduction to Relativity, Waves andQuantum PhysicsPHYS 0050Foundations of Mechanics& PHYS 0060and Foundations of Electromagnetism andModern PhysicsPHYS 0270Astronomy and AstrophysicsSelect one of the following Series:MATH 0170Advanced Placement Calculus& MATH 0180and Intermediate CalculusMATH 0190Advanced Placement Calculus (Physics/& MATH 0200Engineering)and Intermediate Calculus (Physics/Engineering)MATH 0350Honors Calculus (or equivalent)PHYS 0470Electricity and MagnetismProgram:MATH 0520Linear Algebraor MATH 0540Honors Linear Algebraor PHYS 0720Methods of Mathematical PhysicsPhysics212111

2PhysicsSelect one of the following Math courses:APMA 0330Methods of Applied Mathematics I, IIAPMA 0340Methods of Applied Mathematics I, IIAPMA 0350Applied Ordinary Differential EquationsAPMA 0360Applied Partial Differential Equations IMATH 1110Ordinary Differential EquationsMATH 1120Partial Differential EquationsPHYS 0500Advanced Classical MechanicsPHYS 0560Experiments in Modern PhysicsPHYS 1410Quantum Mechanics APHYS 1530Thermodynamics and StatisticalMechanicsThree of the following:PHYS 1100General RelativityPHYS 1250Stellar Structure and the InterstellarMediumPHYS 1270Extragalactic Astronomy and High-EnergyAstrophysicsPHYS 1280Introduction to CosmologyTwo additonal 1000- or 2000-level courses in physics or arelated field which are not listed as requirements.1PHYS 1990Senior Conference CourseTotal Credits11111132118A senior thesis is required. This is to be prepared in connection withunder the direction of a faculty supervisor. The topic may be in arelated department or of interdisciplinary nature. In any event, adissertation must be submitted.Biological Physics Track for the Sc.B. degreeFoundations of PhysicsPHYS 0070Analytical Mechanics1or PHYS 0050Foundations of Mechanicsor ENGN 0040Dynamics and VibrationsPHYS 0160Introduction to Relativity, Waves and1Quantum Physicsor PHYS 0060Foundations of Electromagnetism and ModernPhysicsPHYS 0470Electricity and Magnetism1PHYS 0500Advanced Classical Mechanics1PHYS 1410Quantum Mechanics A1PHYS 1530Thermodynamics and Statistical1Mechanics1Select one of the following Series:1-2Series APHYS 0720Methods of Mathematical PhysicsSeries BSelect one of the following:APMA 0330Methods of Applied Mathematics I, IIAPMA 0350Applied Ordinary Differential EquationsMATH 1110Ordinary Differential EquationsAnd select one of the following:MATH 0180Intermediate CalculusMATH 0200Intermediate Calculus (Physics/Engineering)MATH 0350Honors CalculusMATH 0520Linear AlgebraMATH 0540Honors Linear AlgebraBasic Biology and ChemistryBIOL 0200The Foundation of Living Systems (or1placement out of BIOL 0200)2PhysicsBIOL 0500Cell and Molecular BiologyCHEM 0330Equilibrium, Rate, and StructureAdvanced Biophysical Topics and TechniquesPHYS 1610Biological PhysicsPHYS 1990Senior Conference CourseElective Courses (four chosen from the following list,with at least two 1000-level courses, or additional coursesapproved by the concentration advisor:APMA 0360Applied Partial Differential Equations IAPMA 0410Mathematical Methods in the BrainSciencesAPMA 0650Essential StatisticsAPMA 1070Quantitative Models of Biological SystemsAPMA 1080Inference in Genomics and MolecularBiologyBIOL 0280BiochemistryBIOL 0470GeneticsBIOL 1050Biology of the Eukaryotic CellBIOL 1200Protein Biophysics and StructureBIOL 1270Advanced BiochemistryBIOL 1870Techniques and Clinical Applications inPathobiologyCHEM 0350Organic ChemistryCHEM 0360Organic ChemistryMATH 0090Introductory Calculus, Part IMATH 0170Advanced Placement CalculusMATH 0190Advanced Placement Calculus (Physics/Engineering)MATH 1610ProbabilityMATH 1620Mathematical StatisticsPHYS 0560Experiments in Modern PhysicsPHYS 1510Advanced Electromagnetic TheoryPHYS 1560Modern Physics LaboratoryPHYS 2620FSelected Topics in Molecular Biophysics2PHYS 1990Senior Conference CourseTotal Credits1211114117-18Select Series A alone or two from Series B as indicated.A senior thesis is required. This is to be prepared in connection withunder the direction of a faculty supervisor. The topic may be in arelated department or of interdisciplinary nature. In any event, adissertation must be submitted.Mathematical Physics Track for the A.B.degreePrerequisites:MATH 0090or MATH 0100or MATH 0190Introductory Calculus, Part IIntroductory Calculus, Part IIAdvanced Placement Calculus (Physics/Engineering)PHYS 0050Foundations of Mechanicsor PHYS 0070Analytical Mechanics1Mathematics CoursesMATH 0180Intermediate Calculusor MATH 0200Intermediate Calculus (Physics/Engineering)or MATH 0350Honors CalculusMATH 0520Linear Algebraor MATH 0540Honors Linear AlgebraMATH 1110Ordinary Differential EquationsSelect at least one of the following:MATH 1060Differential Geometry111111

PhysicsMATH 1120MATH 16101Physics CoursesPHYS 0060Partial Differential EquationsProbabilityPhysics and Philosophy ConcentrationRequirementsFoundations of Electromagnetism andModern Physicsor PHYS 0160Introduction to Relativity, Waves and QuantumPhysicsPHYS 0470Electricity and MagnetismPHYS 0500Advanced Classical MechanicsPHYS 0560Experiments in Modern PhysicsSelect at least two of the following:PHYS 1410Quantum Mechanics APHYS 1420Quantum Mechanics BPHYS 1510Advanced Electromagnetic TheoryPHYS 1530Thermodynamics and StatisticalMechanicsPHYS 1560Modern Physics Laboratory11112Total Credits112Concentrators are required to take at least one course in mathematicsand one in physics in each of their last two semesters.Mathematical Physics Track for the Sc.B.degreePrerequisites:Select one of the following series:PHYS 0070Analytical Mechanics& PHYS 0160and Introduction to Relativity, Waves andQuantum PhysicsPHYS 0050Foundations of Mechanics& PHYS 0060and Foundations of Electromagnetism andModern PhysicsSelect one of the following:MATH 0190Advanced Placement Calculus (Physics/Engineering)MATH 0090Introductory Calculus, Part I& MATH 0100and Introductory Calculus, Part IIRequired courses:PHYS 0470Electricity and MagnetismPHYS 0500Advanced Classical MechanicsPHYS 0560Experiments in Modern PhysicsPHYS 1410Quantum Mechanics APHYS 1530Thermodynamics and StatisticalMechanicsMATH 0180Intermediate Calculus& MATH 0200and Intermediate Calculus (Physics/Engineering)or MATH 0350Honors CalculusMATH 0520Linear Algebraor MATH 0540Honors Linear Algebraor PHYS 0720Methods of Mathematical PhysicsMATH 1260Complex AnalysisFour additional 1000 or 2000 level Physics coursesTwo additional 1000 or 2000 level Math courses1PHYS 1990Senior Conference CourseTotal Credits13The Physics and Philosophy concentration is for students with a deepinterest in physics who do not need to acquire the laboratory andcomputational skills of a professional physicist. The concentration allowsstudents to grapple with computational problems and deepen theirinvestigation of conceptual and epistemological issues. By the end of theprogram, concentrators possess an excellent conceptual understandingof the most philosophically interesting physics, relativity and quantummechanics.This concentration should prepare a student either for graduate study,especially in a history and philosophy of science (HPS) program, orfor employment in science education or journalism. Other professionssuch as law and medicine will look favorably on such concentrators forhaving versatile interests and being able to master difficult material. Theconcentration may serve as an excellent preparation for a law schoolsince physics and philosophy both exercise a rigorous approach toproblems of immediate relevance to life but at the same time assume twocomplimentary and sometimes competing viewpoints.AdvisingConcentration advisors from the Departments of Physics and Philosophywill guide students working towards the A.B. degree.Curriculum21-2111111-21142118-20A senior thesis is required. This is to be prepared in connection withunder the direction of a faculty supervisor.The curriculum builds around the fields of physics that have had thebiggest impact on philosophy, especially Quantum Physics, and thefields of philosophy most relevant for physics, such as Epistemology,Metaphysics and Philosophy of Physics. It is strongly recommended thatstudents complete at least one relevant history course.There are 11 required courses (5 in Physics, 5 in Philosophy orHistory, one course in mathematics) and a final project. The choiceof the courses is dictated by the following considerations. The fieldof physics with both deepest philosophical implications and deepestinfluence on the rest of physics is Quantum Mechanics. Thus, a1000-level course in Quantum Mechanics or a closely related fieldsuch as Statistical Mechanics is indispensable. The second fieldof physics most relevant for the concentration is Relativity. Thisfield touches upon and serves as a foundation for a broad list ofsubjects with major philosophical implications of their own, forexample: PHYS 1170, PHYS 1280, PHYS 1510, PHYS 1100. Thisrequires another 1000-level physics course in the concentration. 1000level Physics courses cannot be taken without certain preliminary work,most importantly, PHYS 0470, which serves as a prerequisite for mosthigher-level physics courses and which relies in turn on PHYS 0160or PHYS 0060. Another lower-level physics course is necessary for astudent to develop familiarity with the tools which have been employed inproducing the physics knowledge.A natural introduction into philosophy of physics comes from a course inEarly Modern Philosophy. To a large extent, Early Modern Philosophywas shaped by scholars who combined interest in philosophy and physics(e.g., Rene Descartes, Blaise Pascal, Gottfried Wilhelm Leibniz). Theinfluence of the XVII century physics revolution on other central figuressuch as Kant is unquestionable. Early Modern Philosophy sets anintellectual stage for many subsequent developments in the Philosophyof Physics and directly addresses some of the most perplexing issueslike the connection (or lack thereof) between physics and religion. Thecore of the Philosophy requirement involves two courses in Epistemology,Metaphysics and Philosophy of Science. One course in this field would notbe sufficient due to its very broad nature. Students are strongly advisedto take a relevant History course. This requirement can be substitutedby an additional philosophy course to reflect interests of those studentswho want a deeper background in Epistemology, Metaphysics andPhilosophy of Science or have other related interests such as AncientNatural Philosophy.In addition to the above philosophy courses, PHIL 0210 (Science,Perception, and Reality) serves as a gateway into the concentration. Itmay be substituted by other relevant courses such as PHYS 0100 (FlatPhysics3

4PhysicsEarth to Quantum Uncertainty: On the Nature and Meaning of ScientificExplanation).Any graduate seminar in PhilosophyTotal CreditsA course in calculus is a prerequisite for most physics and somephilosophy classes.Required courses for the A.B. degree are listed below:Physics CoursesSelect one of the following introductory courses in ModernPhysics:PHYS 0060Foundations of Electromagnetism andModern PhysicsPHYS 0160Introduction to Relativity, Waves andQuantum PhysicsOne course in Special Relativity and Classical Field Theory:PHYS 0470Electricity and MagnetismSelect one of the following in Methods of Experimental andTheoretical physics:PHYS 0500Advanced Classical MechanicsPHYS 0560Experiments in Modern PhysicsSelect one of the following in Quantum Mechanics and itsapplicationsPHYS 1410Quantum Mechanics APHYS 1530Thermodynamics and StatisticalMechanicsOne more 1000-level Physics coursePhilosophy CoursesSelect one of the following gateway courses:PHIL 0210Science, Perception and RealityPHIL 0100Critical ReasoningPHIL 0060Modern Science and Human ValuesPHIL 0540LogicSelect one of the following courses in Early Modern Philosophy:PHIL 0360Early Modern PhilosophyPHIL 1700Locke, Berkeley, Hume and OthersPHIL 171017th Century Continental RationalismPHIL 1720Kant: The Critique of Pure ReasonSelect two of the following courses in Epistemology, Metaphysicsand Philosophy of Science:PHIL 1590Philosophy of SciencePHIL 1620Philosophy of Quantum MechanicsPHIL 1660MetaphysicsPHIL 1670TimePHIL 1750EpistemologyHistory Courses1Select one of the following courses in History of Science:HIST 0522NReason, Revolution and Reaction inEuropeHIST 1825MScience at the CrossroadsHIST 1976IImperialism and Environmental ChangeCalculusSelect one of the following:MATH 0180Intermediate CalculusMATH 0200Intermediate Calculus (Physics/Engineering)MATH 0350Honors CalculusFinal ProjectSelect one of the following:PHIL 1990Independent StudiesPHYS 1990Senior Conference CourseA course from the PHIL 0990 Senior Seminar series4Physics112Or one more Philosophy course.Honors111111Seniors wishing to earn honors by presenting a senior honors thesisshould consult their concentration advisor during their sixth semesteror at the start of the seventh semester concerning procedures andrequirements. Students may earn honors by presenting a senior thesisjudged to be of honors quality by two readers. In addition to completing theusual nonhonors requirements, the student should also have a grade pointaverage of over 3.4 in physics, philosophy and history of science courses(of which at least five must be taken for a letter grade). Honors theses areusually prepared over a period of two semesters with an advisor from theDepartment of Physics or the Department of Philosophy.Chemical Physics ConcentrationRequirementsChemical Physics is an interdisciplinary field at the crossroads ofchemistry and physics and is administered jointly by the two departments.The concentration provides students with a broad-based understandingin fundamental molecular sciences, as well as a background for graduatestudies in physical chemistry, chemical physics, or molecular engineering.Concentrators are required to take twenty courses in chemistry, physics,and mathematics, although approved courses in applied mathematics,biology, computer science, geological sciences, or engineering may besubstitutes. Chemical Physics concentrators are also advised to take atleast six courses in the humanities and social sciences. Chemical Physicsconcentrators at all levels (first-year through seniors) are actively involvedin research with faculty members in both departments.Standard program for the Sc.B. degree112111Twenty-one semester courses in chemistry, physics, and mathematics,with a minimum of four semester courses in mathematics. Theexpectation is that courses required for a concentration in ChemicalPhysics will be taken for a letter grade. Core courses are:CHEM 0330CHEM 0350CHEM 0500CHEM 1140PHYS 0070PHYS 0160Equilibrium, Rate, and StructureOrganic ChemistryInorganic ChemistryPhysical Chemistry: Quantum ChemistryAnalytical MechanicsIntroduction to Relativity, Waves andQuantum PhysicsPHYS 0470Electricity and MagnetismSelect one of the following laboratory courses:CHEM 1160Physical Chemistry LaboratoryPHYS 0560Experiments in Modern PhysicsPHYS 1560Modern Physics LaboratorySelect one course in statistical mechanics:CHEM 1150Physical Chemistry: Thermodynamics andStatistical MechanicsPHYS 1530Thermodynamics and StatisticalMechanicsMATH 0190Advanced Placement Calculus (Physics/Engineering)MATH 0200Intermediate Calculus (Physics/Engineering)MATH 0520Linear AlgebraSeven courses, primarily at the 1000 or 2000 level, in chemistry

PHYS 0160 Introduction to Relativity, Waves and Quantum Physics 1 or PHYS 0060 Foundations of Electromagnetism and Modern Physics PHYS 0470 Electricity and Magnetism 1 PHYS 0500 Advanced Classical Mechanics 1 PHYS 1410 Quantum Mechanics A 1 PHYS 1530 Thermodynamics and Statistical Mechanics 1 S

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